Question

Please this confused me, could you explain it too, and show with steps.

Answer 1

Answer:

The linear equation is y = -5/8x+15 - Part A

15in - Part B

x = 24 - Part C

Step-by-step explanation:

Part A:

x = number of hours since she filled it

y = amount of ketchup remaining in the bottle

and knowing that we get the points (5, 11$\frac{7}{8}$) and (8, 10)

Now get the slope of these points.

1. Slope formula

m = y2-y1/x2-x1

2. plug it in and you should get:

m = -5/8

3. Then substitute m = -5/8 and (x1, y1) into the point slope formula then solve for y to write the equation in slope intercept form

4. Point Slope Form = y-y1 = m(x-x1)

y-10 = -5/8(x-8) - substitute

y-10 = -5/8x+5 - distribute

y =  -5/8x+15 -  add 10 on both sides

The linear equation is y = -5/8x+15

Part B:

x represents the hours since she filled it, x = 0 is when she filled the dispenser

= 15in

Part C:

y =  -5/8x+15

0 =  -5/8x+15

5/8x = 15

x = 24